1125356544000 has 1792 divisors, whose sum is σ = 4671498424320. Its totient is φ = 265420800000.

The previous prime is 1125356543981. The next prime is 1125356544019. The reversal of 1125356544000 is 4456535211.

1125356544000 is a `hidden beast` number, since 1 + 1 + 2 + 53 + 565 + 4 + 40 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1125356543981) and next prime (1125356544019).

It is a super-2 number, since 2×1125356544000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11142143950 + ... + 11142144050.

It is an arithmetic number, because the mean of its divisors is an integer number (2606862960).

Almost surely, 2^{1125356544000} is an apocalyptic number.

1125356544000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1125356544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2335749212160).

1125356544000 is an abundant number, since it is smaller than the sum of its proper divisors (3546141880320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1125356544000 is a wasteful number, since it uses less digits than its factorization.

1125356544000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 1125356544000 in words is "one trillion, one hundred twenty-five billion, three hundred fifty-six million, five hundred forty-four thousand".